1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ololo11 [35]
2 years ago
8

If x-1/x = 9 find the value of x +1/x

Mathematics
1 answer:
iren [92.7K]2 years ago
5 0

Answer:

\sqrt{85}

Step-by-step explanation:

Given

x - \frac{1}{x} = 9 ← square both sides

(x - \frac{1}{x})² = 9²

x² - 2 + \frac{1}{x^2} = 81 ( add 2 to both sides )

x² + \frac{1}{x^2} = 83

Now

(x + \frac{1}{x})² = x² + \frac{1}{x^2} + 2, thus

x² + \frac{1}{x^2} = 83 + 2 = 85

(x + \frac{1}{x} )²= 85 ( take the square root of both sides)

x + \frac{1}{x} = \sqrt{85}

You might be interested in
Billy is two years older than his friend Josh. If the sum of their ages is 26,how old are billy and josh​
Phantasy [73]

Answer:

josh is 11 and billy is 15

Step-by-step explanation:

yooo

5 0
2 years ago
Read 2 more answers
Can anyone help me out with this please
musickatia [10]
First, let's factor the equation to make it easier to solve for the intercepts:

f(x) = x² + 12x + 32
f(x) = (x + 8)(x + 4)

To find the x-intercepts of a function, set the y value (f(x)) to 0:

0 = (x + 8)(x + 4)
x = -8, -4

Similarly, to find the y-intercept, set the x values to 0:

f(x) = (0 + 8)(0 + 4)
f(x) = (8)(4)
f(x) = 32

*Note that you can see 32 as the y-intercept in the parabola's original equation
4 0
2 years ago
I need help on ratio of x-coordinates and ratio of y-coordinates
ad-work [718]

Answer:

Ratio of x-coordinates:

\frac{-1}{-2}=\frac{1}{2}

\frac{2}{4}=\frac{1}{2}

\frac{2}{4}=\frac{1}{2}

\frac{-2}{-4}=\frac{1}{2}

Ration of y-coordinates:

\frac{2.5}{5}=\frac{1}{2}

\frac{1}{2}=\frac{1}{2}

\frac{-2}{-4}=\frac{1}{2}

\frac{-2}{-4}=\frac{1}{2}

Step-by-step explanation:

The table is asking for the ratio of x-coordinates for each point (A, B, C and D) for both the image and pre-image.  The ratio is the image 'x' or 'y' value ÷ the pre-image 'x' or 'y' value.  Each ratio should be expressed in simplest form and should show the same pattern of dilation, or same scale factor.  In this case, the second figure is 1/2 the size of the original figure.  

5 0
3 years ago
James has $7.60 in nickels and quarters. He has 4 fewer nickels than quarters. How many of each coin does he have? ​
Rainbow [258]
26 quarters, 22 nickels
4 0
2 years ago
Evaluate the expressions 12(8-5)
saveliy_v [14]

Answer:

36

Step-by-step explanation:

First you would solve what's in the parenthesis because the Order of Pemdas.

Second you would multiply the answer of what's in the parenthesis which is 3 to 12.

Third you would get the answer which is 36!

8 0
3 years ago
Read 2 more answers
Other questions:
  • Which of the following is the correct factored form of the given equation?
    9·1 answer
  • What’s the Roman numeral of 38
    8·2 answers
  • I need trigometry help
    5·1 answer
  • Lara is putting lace trim around the border of a circular tablecloth. The tablecloth has a diameter of 1.2 meters. What is the l
    6·1 answer
  • Which values are solutions to the inequality below? <br><br>Check all that apply. &gt;4
    11·2 answers
  • Which graph displays the solution to -x + 2 &lt; -8?
    14·1 answer
  • Find the distance between the points (6,-4) and (-3,-4) .
    15·1 answer
  • What is 12x-3+2x+13 equivalent to
    13·2 answers
  • Thnx for the last one❤️❤️
    14·1 answer
  • If a = b + 6 but a also = b * 3, what are the variables?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!